✨Prior Learning Counting Principle

✨Prior Learning Counting Principle

Watch this

Get every possible option

Multiple Choice

In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?

• $$6760$$

• $$62$$
  

• $$2600$$
  

• $$6084$$

Multiple Choice

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

• $26\times26\times26\times10\times10\times10=17,576,000$

• $26\times25\times24\times10\times9\times8=11,232,000$
  

Multiple Choice

A restaurant serves 5 main dishes, 3 salads, and 4 desserts. How many different meals could be ordered if each has a main dish, a salad, and a dessert?

• $5\times3\times4=60$

• $5+3+4=12$
  

Multiple Choice

The letters A, B, C, and D are used to form four-letter passwords for entering a computer file. How many passwords are possible if letters can be repeated?

• $4\times4\times4\times4=256$

• $4\times3\times2\times1=24$
  

• $4+4+4+4=16$
  

• $4+3+2+1=10$
  

Multiple Choice

If you draw a random card from a standard deck of cards, how many possible outcomes?

• $13$

• $26$
  

• $52$
  

• $54$
  

Multiple Choice

The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?

• 7 because

  $2+3+2$

• 12 because $2\times3\times2$

Multiple Choice

An ice cream shop offers a choice of three types of cones and 31 flavors of ice cream. A customer gets to choose a cone and a type of ice cream. How many different 1-scoop ice cream cones can a customer order?

• $34$

• $2$
  

• $3$
  

• $93$
  

Same or Different

how many options, it depends

Multiple Choice

In how many ways can the first five letters of the alphabet be arranged if each letter is used only once?

• $$5\times4\times3\times2\times1=120$$

• $$5\times5\times5\times5\times5=3125$$
  

• $$26\times26\times26\times26\times26=11881376$$

Multiple Choice

Three students are scheduled to give oral reports on Monday. In how many ways can their presentations be ordered?

• $3\times2\times1=6$

• $3\times3\times3=27$
  

• $3+3+3=9$
  

• $3+2+1=6$
  

Multiple Choice

Heather must choose a PIN code for her ATM card. The pin is a 4 digit code. How many possible PIN numbers are there?

• $10,000$

• More than 1 million

• $4$
  

• None of these

Multiple Choice

Heather must choose a PIN code for her ATM card. The pin is a 4 digit code. How many possible PIN numbers are there if you can use each digit only once?

• $5040$

• More than 1 million

• $4$
  

• None of these

Multiple Choice

How many styles of sneakers are possible if Jared can choose from high-top or low-top, shoelaces or velcro, and the colors black, white, and red?

• $2\times2\times3=12$

• $2+2+3=7$ 7

• two choices, two choices, three choices = $223$
  

• $\left(2+2\right)^3=64$
  

Multiple Choice

How many license plates consisting of three letters followed by three numbers are possible when no repetition is allowed?

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

Multiple Choice

How many license plate numbers consisting of three letters followed by three numbers are possible when repetition is allowed?

• 26 x 26 x 26 x 10 x 10 x 10 = 17576000

• 26 x 25 x 24 x 10 x 9 x 8 = 11232000

• 26 x 26 x 26 x 9 x 9 x 9 = 12812904

• 26 x 25 x 24 x 9 x 8 x 7 = 7862400

Multiple Choice

The Palace of Pizza offers small, medium, or large pizzas with 14 different toppings available. How many different 1-topping pizzas do they serve?

• $3\times14=42$

• $3+14=17$
  

• $14\times14\times14=2744$
  

• $14\times13\times12=2184$
  

Repetitions matter

make sure to account for it